First, we need to calculate the scale factor used to create the scale drawing. This can be found by dividing the height of the actual triangle by the height of the scale drawing: 10 inches / 4 inches = 2.5.
Next, we need to find the base of the scale drawing by multiplying the scale factor by the actual base: 2.5 x 16 inches = 40 inches.
Now, we can calculate the area of the scale drawing using the scale base and height: (40 inches x 4 inches) / 2 = 80 square inches.
Therefore, the area of Crystal's scale drawing is 80 square inches, which is not one of the given options. This is likely due to a miscalculation or misunderstanding of the problem.
crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 10 inches, and the base of the triangle measures 16 inches. crystal makes a scale drawing of the triangle. if the height of her scale drawing is 4 inches, what is the area of her scale drawing?
Width: 16
Height: 10
A. 25.6 square inches
B. 22.4 square inches
C. 30 square inches
D. 12.8 square inches
3 answers
its 12.8 bru
Apologies for the confusion. Let's go through the calculation again to find out the correct answer.
We know that the base of the actual triangle is 16 inches and the height is 10 inches. The scale drawing has a height of 4 inches.
To find the scale factor, we need to divide the height of the actual triangle by the height of the scale drawing: 10 inches / 4 inches = 2.5.
Next, we multiply the scale factor by the actual base to get the base of the scale drawing: 2.5 x 16 inches = 40 inches.
Now, we calculate the area of the scale drawing using the scale base and height: (40 inches x 4 inches) / 2 = 80 square inches.
It seems the calculation for the area was incorrect previously. The correct area of Crystal's scale drawing is 80 square inches, not 12.8 square inches.
Therefore, none of the given options (25.6, 22.4, 30, or 12.8 square inches) match the correct area, which is 80 square inches.
We know that the base of the actual triangle is 16 inches and the height is 10 inches. The scale drawing has a height of 4 inches.
To find the scale factor, we need to divide the height of the actual triangle by the height of the scale drawing: 10 inches / 4 inches = 2.5.
Next, we multiply the scale factor by the actual base to get the base of the scale drawing: 2.5 x 16 inches = 40 inches.
Now, we calculate the area of the scale drawing using the scale base and height: (40 inches x 4 inches) / 2 = 80 square inches.
It seems the calculation for the area was incorrect previously. The correct area of Crystal's scale drawing is 80 square inches, not 12.8 square inches.
Therefore, none of the given options (25.6, 22.4, 30, or 12.8 square inches) match the correct area, which is 80 square inches.